Atkin-Lehner |
2- 3+ 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118bc |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-149200975728 = -1 · 24 · 33 · 72 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -4 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1048,12955] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:425:8] [-5:89:1] |
Generators of the group modulo torsion |
j |
4718807281917/5525962064 |
j-invariant |
L |
11.061340107687 |
L(r)(E,1)/r! |
Ω |
0.68687022825663 |
Real period |
R |
0.67099890516978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62118a1 |
Quadratic twists by: -3 |